An introduction to algebra with a review of basic arithmetic. Includes decimals, fraction, percentage, ratio, proportion, signed numbers, algebraic expressions, factoring, exponents and radicals, linear equations, and graphs. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only.

# Courses

**MATH**

**99**

**INTERMEDIATE ALGEBRA**

A review of the arithmetic of fractions and decimals, percentage problems, signed numbers, arithmetic, and topics of basic algebra, including simplifying algebraic expressions, solving and graphing linear equations, basic factoring, working with algebraic fractions, and solving rational and quadratic equations. This course is designed for students who need a review of the basic algebra skills necessary to complete the required mathematics courses MATH 131 or MATH 140. Credit does not count toward graduation. Graded Satisfactory/Unsatisfactory only. Prerequisite: ACT math score of 16 or above; SAT math score of 400 or above, MATH 098; or Accuplacer Elementary Algebra test score of 60 or above.

*Academic Program(s):*

**MATH**

**102**

**COLLEGE ALGEBRA SKILLS**

A review of the math skills necessary to succeed in MATH 140, College Algebra. Prerequisites: an assessment equivalent to ACT math score between 17-20; a SAT Math score between 410-500; an Accuplacer Elementary Algebra score between 75-105; or a Compass Algebra score between 26-44; and a high school GPA of 2.75 or higher. Co-requisite MATH 140. Note: this course is intended for those qualified students wanting to complete the Supplemental Academic Instruction (SAI) program in Math.

*Academic Program(s):*

**MATH**

**105**

**MATH FOR LIBERAL ARTS GMA1**

An investigation into a variety of mathematical concepts with an emphasis on quantitative literacy. Topics may include practical applications such as personal finance and numbers in the media, along with aesthetic applications such as connections between mathematics and art or music. Prerequisite: ACT math score of 19 or above; SAT math score of 460 or above; MATH 98 or MATH 099; or Accuplacer Elementary Algebra test score of 85 or above; or corequisite MATH 100.

*Academic Program(s):*

**MATH**

**140**

**COLLEGE ALGEBRA GMA1**

An integration of the essential algebraic manipulations, solving equations and inequalities, polynomial functions, exponential and logarithmic functions, and techniques of graphing. Prerequisite: ACT math score of 21 or above; SAT math score of 510 or above; MATH 099; or Accuplacer Elementary Algebra test score of 106 or above; or co-requisite MATH 102 (SAI).

*Academic Program(s):*

**MATH**

**141**

**PRECALCULUS**

Preparation for calculus by the study of functions of one variable over the real numbers. These are introduced in general and then applied to the usual elementary functions, namely polynomial and rational functions, exponential and logarithmic functions, and trigonometric functions. Inverse functions, polar coordinates and trigonometric identities are included. Prerequisite: ACT math score of 23 or above; SAT math score of 530 or above; MATH 140 with a minimum grade of 'C-'; or Accuplacer College-Level Mathematics test with a score of 65 or above.

*Academic Program(s):*

**MATH**

**151**

**CALCULUS I GMA1**

A study of differential calculus, including limits, continuous functions, Intermediate Value Theorem, tangents, linear approximation, inverse functions, implicit differentiation, extreme values and the Mean Value Theorem. This course also introduces Integral calculus including anti-derivatives, definite integrals, and the Fundamental Theorem of Calculus. Prerequisite: ACT math score of 27 or above; SAT math score of 610 or above; MATH 141 with a minimum grade of "C-"; or Accuplacer university-level mathematics test with a score of 95 or above. GT-MA1

*Academic Program(s):*

**MATH**

**209**

**MATH FOR ELEM SCHL TEACHERS I**

First of two courses designed for prospective elementary teachers. Emphasizes the real number system, arithmetic operations, and algebra. Explorations focus on representing, analyzing, generalizing, formalizing, and communicating patterns and structures. Content is presented using problem solving and exploration. Prerequisite: ACT math score of 23 or above, SAT math score of 530 or above; MATH 140 with a minimum grade of 'C-'; or Accuplacer College-Level Mathematics test with a score of 65 or above.

*Academic Program(s):*

**MATH**

**213**

**PROBABILITY STATISTICS GMA1**

An introduction to descriptive statistics, probability concepts, and inferential statistics. The topics for the course include presentation of data, counting principles, probability rules, and discrete and continuous probability distributions. Prerequisite: MATH 141 with a minimum grade of "C-,"' or Accuplacer College-Level Mathematics test score of 85 or above; or instructor permission.

*Academic Program(s):*

**MATH**

**220**

**INTRO TO ADVANCED MATHEMATICS**

Students develop and use elementary logic and set theory to construct deductive proofs with relations, functions, and some algebraic structures. Topics include indexing, equivalence relation theory, and cardinality. Prerequisite: MATH 151 with a minimum grade of "C-."

*Academic Program(s):*

**MATH**

**251**

**CALCULUS II**

Topics include techniques of integration, area computations, improper integrals, infinite series and various convergence tests, power series, Taylor's Formula, polar coordinates, and parametric curves. Prerequisite: MATH 151 with a minimum grade of "C-."

*Academic Program(s):*

**MATH**

**252**

**CALCULUS III**

Topics include calculus of functions of several variables, differentiation and elementary integration, vectors in the plane and space. Prerequisite: MATH 251 with a minimum grade of "C-."

*Academic Program(s):*

**MATH**

**260**

**APPLIED LINEAR ALGEBRA**

A course in the techniques and applications of linear algebra. The core topics include solving systems of linear equations, eigenvalues and eigenvectors, matrix decomposition, the pseudoinverse and least squares approximations, and the singular value decomposition. The theory is supplemented with extensive applications and computer programming. Prerequisite: MATH 141.

*Academic Program(s):*

**MATH**

**300**

**INTRODUCTION TO MATHEMATICAL MODELING**

Designed to teach the basic principles of mathematical modeling and applied mathematics. Techniques from calculus, statistics, and probability are utilized to model real-world problems. Analytic and numeric tools are used to implement the models, obtain predictions and investigate underlying mechanisms. Topics include dimensional analysis, curve fitting, simulations, differential and difference equations. Prerequisites: MATH 251 and MATH 213 with minimum grades of “C-.”

*Academic Program(s):*

**MATH**

**311**

**MATH KNWLDGE TEACHG ELEM SCHL**

This problem based class uses video and written records of children doing mathematics to enable prospective elementary educators to develop a connected framework of mathematical knowledge, understand mathematical thinking of others, and recognize how specific mathematical tasks contribute to a child's emerging mathematical knowledge. Problems are tied to specific mathematical standards and practices from the Common Core State Standards for Mathematics (grades K-6). Prerequisite: MATH 210 with a minimum grade of "C-".

*Academic Program(s):*

**MATH**

**313**

**STATISTICAL MODELING AND SIMULATION**

A study of statistical techniques used to model and simulate stochastic processes. The core topics include linear and nonlinear multivariate models, generalized additive models, time series models with auto-correlated error, and mixed effects models. Emphasis is placed on computational techniques appropriate to large data sets and data visualization. Prerequisites: ECON 316, MATH 260, CS190.

*Academic Program(s):*

**MATH**

**314**

**APPLIED PROBABILITY**

A study of the basic principles of probability theory and their applications. Topics include combinational analysis, conditional probabilities, discrete and continuous random variables, and measures of centrality and variance. Emphasis is placed on applications using probability distributions (including binomial, geometric, Poisson, uniform, exponential, and normal distributions) to assess and manage risk in the fields of finance, insurance, medicine, and quality control. Prerequisite: MATH 251 with minimum grade of “C-.”

*Academic Program(s):*

**MATH**

**330**

**TOPICS IN GEOMETRY**

An introduction to modern geometries. Topics include synthetic, analytic, vector, and transformational approaches to geometry. Classification of geometries, axiomatics, and the application of geometry may also be included. Prerequisite: MATH 220 with a minimum grade of "C-."

*Academic Program(s):*

**MATH**

**354**

**DIFFERENTIAL EQUATION**

A study of the theory and methods for solving ordinary differential equations. Prerequisite: MATH 251 with a minimum grade of “C- .”

*Academic Program(s):*

**MATH**

**360**

**LINEAR ALGEBRA**

A study of systems of linear equations, matrix operations, vector spaces, properties of determinants, eigenvalues, eigenvectors, orthogonality and least-squares. Emphasis is placed on theoretical aspects and general vector space properties with proof. Prerequisite: MATH 260, MATH 220 with a minimum grade of "C-."

*Academic Program(s):*

**MATH**

**370**

**HISTORY OF MATHEMATICS**

Acquaints the student with the historical development of mathematics. Includes an introduction to the proper methods and accepted formats of written, graphical, and oral communication in mathematics. Prerequisites: MATH 220 and MATH 251 with minimum grades of “C-.”

*Academic Program(s):*

**MATH**

**414**

**ACTUARIAL MATHMATICS**

A study of mathematical concepts useful in risk management, including multivariate probability and interest theory. Topics include the Central Limit Theorem, joint distributions, combinations of distributions, conditional and marginal probabilities, time value of money, annuities, and loans. Emphasis is placed on solving problems from the actuarial field, including applications to insurance and business. Prerequisites: MATH 252 and MATH 314 with minimum grades of “C-.”

*Academic Program(s):*

**MATH**

**451**

**ANALYSIS I**

An introduction to the theory of calculus. Topics include the usual topology of the real's, sequences, limits, continuity, differentiation, and Riemann integration. Prerequisites: MATH 220 and MATH 252 with minimum grades of "C-."

*Academic Program(s):*

**MATH**

**456**

**INTRODUCTION TO COMPLEX ANALYSIS**

An introduction to the theory and applications of complex variables. Topics include analytic and elementary functions, integrals, series, residues, and conformal mapping. Prerequisites: MATH 220 and MATH 252 with minimum grades of “C-.”

*Academic Program(s):*

**MATH**

**471**

**ABSTRACT ALGEBRA I**

An introduction to the theory of groups and rings. The fundamental group properties and concepts including cyclic groups, subgroups, direct products, symmetric groups, cosets, normal subgroups, and the group homomorphism theorems are discussed. Prerequisite: MATH 220 with a minimum grade of 'C-.'

*Academic Program(s):*

**MATH**

**495**

**SENIOR SEMINAR**

A Capstone Course for the Mathematics Standard Major and for the Secondary Licensure Emphasis. Each student selects an area of interest, researches the selected area, generates a reference list and research paper, and presents the paper to a seminar of faculty and students. Prerequisites: MATH 360 and either MATH 451 or MATH 471.

*Academic Program(s):*